一类自守L-函数的零点密度估计（英文）

Zero densityestimates of a kind of automorphic L-function

考虑了带特征的Mass形式的自守L函数的零点密度估计问题.证明了L(s,f×χ)的零点密度估计具有下面的形式:∑xN(σ,T,x)《(qT)A(σ)(1-σ)+ε.

The zero density estimates of automorphic L-functions associated with cusp form are investigated. Define： L（s,f x）= ∞∑ n=1 λ（n）/ns, Rc（s）〉1, it is proved that the zero density estimates as follows ： ∑x N（σ,T,x）≤（qT） A（σ）（1-σ）＋ε.If q= 1, the above formula is the problem of zero density for automorphic L-funetion L（s,f）.